5 papers · 1 filter
Foliated Minimal Models and Flops
Paolo Cascini, Roktim Mascharak, Calum Spicer
We study minimal models and flops for foliations. We show that if is a rank one foliation with canonical singularities on a normal projective -factorial var…
Log Canonical Minimal Model Program for corank one foliations on Threefolds
Priyankur Chaudhuri, Roktim Mascharak
If $(X, \mcF, \D)$ is a projective rank two foliated log canonical triple such that is klt for some $0 \leq B \leq \D$, we show that we can run a $(K_\mcF +Δ)$-MMP and any…
On The Log Sarkisov Program For Foliations On Projective 3-Folds
Roktim Mascharak
In this article, we prove the Sarkisov Program for co-rank one foliations with suitable singularities on normal projective threefolds. We also exibit a weaker version of birational…
ACC for lc thresholds for algebraically integrable foliations
Omprokash Das, Jihao Liu, Roktim Mascharak
We prove the ACC for lc thresholds and the global ACC for algebraically integrable foliations and provide applications.
On Log Canonical MMP for Kähler 3-Fold
Roktim Mascharak
In this article we show that the Log Minimal Model Program holds for -factorial lc pair with being a compact Kähler -fold having only klt singularities.